ADANA BTÜ DERS KATALOG FORMU (COURSE CATALOGUE FORM)

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1 ADANA BTÜ DERS KATALOG FORMU (COURSE CATALOGUE FORM) Dersin Adı Course Name Mühendislik Mekaniği-Statik Engineering Mechanics Statics Kodu (Code) Yarıyılı (Semester) Kredisi (Local AKTS Kredisi (ECTS Credits) Ders Uygulaması, Saat/Hafta (Course Implementation, Hours/Week) Credits) Ders (Theoretical) Uygulama (Tutorial) Laboratuar (Laboratory) CE Bolum/Program (Department/Program) İnşaat Mühendisliği Bölümü (Civil Engineering Department) Dersin Türü (Course Type) Zorunlu (Compulsory) Dersin Dili (Course Language) İngilizce (English) Dersin Önkoşulları (Course Prerequisites) Yok/None Dersin Mesleki Bileşene Katkısı, % (Course Category by Temel Bilim (Basic Science) Temel Mühendislik (Engineering Science) Mühendislik Tasarım (Engineering İnsan ve Toplum Bilim (General Education) Content, %) Design) %100 Dersin İçeriği (Course Description) Dersin Amacı (Course Objectives) Statiğin ilkeleri, kuvvet vektörü, parçacığın dengesi, kuvvet çifti, rijit cismin dengesi, düzlemde kuvvetler, yayılı yükler, bağlar ve bağ kuvvetleri,kafes sistemler, Gerber kirişleri, iç kuvvetler, hidrostatik kuvvetler, kablolar, eylemsizlik momenti, ağırlık merkezi ve Pappus-Guldinus teoremleri, sürtünme Principle of statics, force vector, equilibrium of particle, moment of a couple, equilibrium of rigid body, planar forces, distributed loads, supports and support reactions, Gerber Beams, internal forces, hydrostatic forces, cables, moment of inertia, centroids and Theorem of Pappus-Guldinus, friction. 1. Kuvvet ve moment vektörünün tanımı ve bunun için gerekli olan vektör cebri 2. Parçacığın ve rijit cismin dengesi (düzlemde ve uzayda) 3. Bağlar ve bağ kuvvetleri 4. Taşıyıcı sistemlerin dengesi ve iç kuvvetler (kafesler, çerçeveler, kablolar) 1. Definition of force and moment vectors and necessary vector algebra 2. Equilibrium of particle and rigid body (plane and space) 3. Supports and support reactions 4. Equilibrium of structures, internal foces (trusses, frames, cables)

2 Dersin Öğrenme Çıktıları (Course Learning Outcomes) Ders Kitabı (Textbook) Diğer Kaynaklar (Other References) Ödevler ve Projeler (Homework & Projects) Başarı Değerlendirme Sistemi (Assesment Criteria) Bu dersi başarıyla geçen öğrenciler: 1. Vektör cebri (skaler ve vektörel çarpım, toplama ve çıkarma), kuvvet ve moment tanımı 2. Parçacığın ve rijit cismin dengesi 3. Bağlar ve bağ kuvvetleri 4. Statikçe belirli taşıyıcı sistemlerin statik dengesi (Gerber kirişleri, kafesler, çerçeveler, kablolar) Kesit tesir diyagramları 5. Yayılı yükler ve hidrostatik kuvvetler 6. Eylemsizlik momenti Student, who passed the course satisfactorily can: 1. Vector algebra (scalar and vectoral product, addition and subtraction), definition of force and moment 2. Equilibrium of particle and rigid body 3. Support and support reactions 4. Equilibrium of statically determinate structures (Gerber beams, trusses, frames, cables) Shear and bending moment diagrams 5. Distributed loads and hydrostatic forces 6. Moment of Inertia Hibbeler, R.C., Yap B.K., Mechanics for Engineers-STATICS 13rd SI Edition, Pearson, ISBN Meriam, J.L., Kraige L.G., 2008, Engineering Mechanics-Statics 6th Edition, John Wiley & Sons 2. Beer, F.P., Johnston, E.R., Eisenberg, E.R., 2007, Vector Mechanics for Engineers Statics, McGraw-Hill 3. Omurtag, M.H., 2012, Mühendisler için Mekanik-STATİK, Birsen Yayınevi 4. Omurtag, M.H., 2013, Mühendisler için Mekanik-STATİK Çözümlü Problemler, Birsen Yayınevi 5. Öğretim Üyesinin Ders Notları (Lecture Notes) 12 Uygulama (Sınıfta yapılacak) 12 Recitations (will be held in class) Faaliyetler Adedi En az Değerlendirme Katkısı % (Activities) (Quantity Minimum) (Effects on Grading %) Yıliçi Sınavları 1 %40 (Midterm Exams) Quiz 3 %10 Final Sınavı 1 %50 (Final Exam)

3 COURSE PLAN Week Topics Chapters 1 Principles of Statics, Vectors, Rectangular Components of a Vector, Force 1 Vector Directed Along a Line, Dot Product (Scalar Product) 2 Equilibrium of a Particle, The Free Body Diagram and Co-Planar Force Systems, 2,3 Three Dimensional Force Systems 3 Moment of a Force (Scalar Formulation), Cross Product, Moment of a Force 4,5 (Vector Formulation) and Principle of Moments, Moment About an Axis (Scalar and Vectoral Formulation) 4 Moment of a Couple, Simplification of Force and Couple Systems and Further 6,7 Simplification 5 Reduction of a Simple Distributed Loading, Equilibrium of a Rigid Body and 8,9 Free Body Diagrams 6 Equations of Equilibrium and Two Force Members, Simple Trusses, The Method 10,11 of Joints and Zero Force Members 7 The Method of Sections of Trusses 12 8 MIDTERM WEEK 9 Beams, Gerber Beams and Internal Effects Hydrostatics Cables Centroids, Theorems of Pappus-Guldinus Moment of Inertia Friction 19

4 RECITATION I The tower is held in place by three cables. If the force of each cable acting on the tower is shown, determine the magnitude and coordinate direction angles α,β,γ of the resultant force. Take x = 20 m, y = 15 m.

5 RECITATION 2 The cables each exert a force of 400 N on the post. a) Determine the angle θ between the two cables attached to the post. b) Determine the magnitude of the projected component of along the line of action of.

6 RECITATION 3 If cable AB is subjected to a tension of 700 N, determine the tension in cables AC and AD and the magnitude of the vertical force F.

7 RECITATION 3 The 30-kg pipe is supported at A by a system of five cords. Determine the force in each cord for equilibrium.

8 RECITATION 4 1-) Determine the moment of force F about point O. Express the result as a Cartesian vector. 2-) Determine the moment of the force F about an axis extending between A and C. Express the result as a Cartesian vector.

9 RECITATION 5 1-) a) Two couples act on the cantilever beam. If F = 6 kn, determine the resultant couple moment. b) Determine the required magnitude of force F, if the resultant couple moment on the beam is to be zero. 2-) Replace the force system acting on the frame by a resultant force and couple moment at point A.

10 RECITATION 6 1-) The building slab is subjected to four parallel column loadings. Determine the equivalent resultant force and specify its location (x,y) on the slab. Take F 30 kn, F 40 kn. 2-) If the soil exerts a trapezoidal distribution of load on the bottom of the footing, determine the intensities w and w of this distribution needed to support the column loadings.

11 RECITATION 7 The jib crane is supported by a pin at C and rod AB. The rod can withstand a maximum tension of 40 kn. If the load has a mass of 2000 kg, with its center of mass located at G, determine its maximum allowable distance x and the corresponding horizontal and vertical components of reaction at C. (g=9.81 m/s )

12 RECITATION 8 1-) Determine the base reactions at points A and G and the forces in each member of the truss shown above by using the method of joints. State if the members are in tension or compression. Set P = 10 kn, P = 15 kn. 2-) Determine the force in members KJ, KD and CD of the Pratt truss shown above by the method of sections. State if the members are in tension or compression.

13 RECITATION 9 The Gerber beam is fixed supported at A and supported by roller supports at B and C. If there are hinges at D and E, determine the reactions at the supports A, B and C.

14 RECITATION 10 1-) Determine the internal normal force, shear force and moment at points E and F in the Gerber beam, shown above. Point F is located just to the left of the 15 kn force and 25 knm couple moment. 2-) Draw the shear and moment diagrams for the Gerber beam shown in the above figure. Assume the supports at A and C are rollers and B and E are pin connections.

15 RECITATION 11 When the tide water (gelgit) A subsides (çökelme), the side gate automatically swings open to drain the marsh B. For the condition of high tide shown, determine the horizontal reactions developed at the hinge C and stop block D. The length of the gate is 6 m and its height is 4 m

16 RECITATION 12 Determine the maximum tension developed in the cable if it is subjected to a uniform load of 600 N/m.

17 RECITATION 13 1-) Locate the centroid of the area shown in the above figure. 2-) The gravity wall is made of concrete. Determine the location (x,y ) of the center of gravity G for the wall.

18 RECITATION 14 1-) a) The water tank AB shown above, has a hemispherical top and is fabricated from thin steel plate. Determine the volume within tank using Pappus-Guldinus theorem. b) If a liter of paint can cover 3 m of the tank s surface, determine how many liters are required to coat the surface of the tank from A to B, using Pappus-Guldinus theorem. Hints: Centroid of Quarter Arc Centroid of Quarter Circle Area 2-) Locate the centroid of the beam s cross-sectional area shown below.